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Maximizing Critical Currents in Superconductors by Optimization of Normal Inclusion Properties
Physica D: Nonlinear Phenomena
  • Yanzhi Zhang, Missouri University of Science and Technology
  • Janet Peterson
  • Max Gunzburger
Lega, Joceline and Sauer, T.

The movement of vortices in superconductors due to an applied current can induce a loss of perfect conductivity. Experimental observations show that material impurities can effectively prevent vortices from moving. In this paper, we provide numerical studies to investigate vortex pinning and critical currents through the use of an optimal control approach applied to a variant of the time-dependent Ginzburg-Landau model that can account for normal inclusions. The effects that the size and boundary of the sample and the number, size, shape, orientation, and location of the inclusion sites have on the critical current and vortex lattices are studied. In particular, the optimal control approach is used to determine the optimal properties of the impurities so as to maximize the critical current, i.e., the largest current that can pass through a superconductor without resistance.

Mathematics and Statistics
Keywords and Phrases
  • Superconducting,
  • Critical Currents,
  • Vortex Spinning,
  • Ginzburg-Landau Equations,
  • Optimal Control
Document Type
Article - Journal
Document Version
File Type
© 2011 Elsevier, All rights reserved.
Publication Date
Citation Information
Yanzhi Zhang, Janet Peterson and Max Gunzburger. "Maximizing Critical Currents in Superconductors by Optimization of Normal Inclusion Properties" Physica D: Nonlinear Phenomena (2011) ISSN: 0167-2789
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